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Finding the Fourth Proportional to 15,409.76, 21,267.64 and 8,698.08

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Solution

The fourth proportional to 15,409.76, 21,267.64 and 8,698.08 is: 12,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.76 : 21,267.64 = 8,698.08 : x
  2. Step 2: Convert to fraction form
    15,409.76/21,267.64 = 8,698.08/x
  3. Step 3: Cross multiply
    15,409.76x = 21,267.64 × 8,698.08
  4. Step 4: Simplify right side
    15,409.76x = 184,987,634.13
  5. Step 5: Solve for x
    x = 184,987,634.13/15,409.76
  6. Step 6: Final answer
    x = 12,004.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.